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<p>&#x82E5; &lt;<em>v,w</em>&gt; &#x5C5E;&#x4E8E; <em>VR</em> &#xFF0C;&#x5219; &lt;<em>v,w</em>&gt; &#x8868;&#x793A;&#x4ECE; <em>v</em> &#x5230; <em>w</em> &#x7684;&#x4E00;&#x6761;<strong>&#x5F27;</strong>&#xFF0C;&#x4E14;&#x79F0; <em>v</em> &#x4E3A;<strong>&#x5F27;&#x5C3E;</strong>&#x6216;&#x521D;&#x59CB;&#x70B9;&#xFF0C;&#x79F0; <em>w</em> &#x4E3A;<strong>&#x5F27;&#x5934;</strong>&#x6216;&#x7EC8;&#x7AEF;&#x70B9;&#xFF0C;&#x6B64;&#x65F6;&#x7684;&#x56FE;&#x79F0;&#x4E3A;<strong>&#x6709;&#x5411;&#x56FE;</strong>&#x3002;</p>
<p>&#x82E5; &lt;<em>v,w</em>&gt; &#x5C5E;&#x4E8E; <em>VR</em> &#x5FC5;&#x6709; &#x82E5; &lt;<em>w,v</em>&gt; &#x5C5E;&#x4E8E; <em>VR</em>&#xFF0C;&#x5373; <em>VR</em> &#x4E3A;&#x5BF9;&#x79F0;&#x7684;&#xFF0C;&#x5219;&#x4EE5;&#x65E0;&#x5E8F;&#x5BF9; (<em>v,w</em>) &#x4EE3;&#x66FF;&#x8FD9;&#x4E24;&#x4E2A;&#x6709;&#x5E8F;&#x5BF9;&#xFF0C;&#x8868;&#x793A; <em>v</em> &#x548C; <em>w</em> &#x4E4B;&#x95F4;&#x7684;&#x4E00;&#x6761;<strong>&#x8FB9;</strong>&#xFF08;Edge&#xFF09;&#xFF0C;&#x6B64;&#x65F6;&#x7684;&#x56FE;&#x79F0;&#x4E3A;<strong>&#x65E0;&#x5411;&#x56FE;</strong>&#x3002;</p>
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<p>&#x5982;&#x679C;&#x56FE; <em>G=(V,E)</em> &#x548C;&#x56FE; <em>G&apos;=(V&apos;,E&apos;)</em>&#xFF0C;&#x6EE1;&#x8DB3;&#xFF1A;<em>V&apos;</em> &#x5C5E;&#x4E8E;<em>V</em> &#x4E14; <em>E&apos;</em> &#x5C5E;&#x4E8E;<em>E</em>&#xFF0C;&#x5219;&#x79F0; <em>G&apos;</em> &#x4E3A; <em>G</em> &#x7684;&#x5B50;&#x56FE;&#x3002;</p>
<p>&#x5BF9;&#x4E8E;&#x65E0;&#x5411;&#x56FE; <em>G</em>=(V,{E})&#xFF0C;&#x5982;&#x679C;&#x8FB9; (<em>v ,v&apos;</em>) &#x5C5E;&#x4E8E; <em>E</em>&#xFF0C;&#x5219;&#x79F0;&#x9876;&#x70B9; <em>v</em> &#x548C; <em>v&apos;</em> &#x4E92;&#x4E3A;<strong>&#x90BB;&#x63A5;&#x70B9;</strong>&#xFF0C;&#x5373; <em>v</em> &#x548C; <em>v&apos;</em> &#x76F8;&#x90BB;&#x63A5;&#x3002;&#x8FB9; (<em>v ,v&apos;</em>) &#x4F9D;&#x9644;&#x4E8E;&#x9876;&#x70B9; <em>v</em> &#x548C; <em>v&apos;</em>&#xFF0C;&#x6216;&#x8005;&#x8BF4; (<em>v ,v&apos;</em>) &#x548C;&#x9876;&#x70B9; <em>v</em> &#x548C; <em>v&apos;</em> <strong>&#x76F8;&#x5173;&#x8054;</strong>&#x3002;</p>
<p>&#x65E0;&#x5411;&#x56FE;&#x4E2D;&#x4ECE;&#x9876;&#x70B9; <em>v</em> &#x5230; <em>v&apos;</em> &#x7684;<strong>&#x8DEF;&#x5F84;</strong>&#x662F;&#x4E00;&#x4E2A;&#x9876;&#x70B9;&#x5E8F;&#x5217;&#x3002;&#x5982;&#x679C; G &#x662F;&#x6709;&#x5411;&#x56FE;&#xFF0C;&#x5219;&#x8DEF;&#x5F84;&#x4E5F;&#x662F;&#x6709;&#x5411;&#x7684;&#x3002;&#x8DEF;&#x5F84;&#x7684;&#x957F;&#x5EA6;&#x662F;&#x8DEF;&#x5F84;&#x4E0A;&#x7684;&#x8FB9;&#x6216;&#x5F27;&#x7684;&#x6570;&#x76EE;&#x3002;&#x7B2C;&#x4E00;&#x4E2A;&#x9876;&#x70B9;&#x548C;&#x6700;&#x540E;&#x4E00;&#x4E2A;&#x9876;&#x70B9;&#x76F8;&#x540C;&#x7684;&#x8DEF;&#x5F84;&#x88AB;&#x79F0;&#x4E3A;<strong>&#x56DE;&#x8DEF;</strong>&#x6216;<strong>&#x73AF;</strong>&#xFF08;Cycle&#xFF09;&#x3002;&#x5E8F;&#x5217;&#x4E2D;&#x9876;&#x70B9;&#x4E0D;&#x91CD;&#x590D;&#x51FA;&#x73B0;&#x7684;&#x8DEF;&#x5F84;&#x79F0;&#x4E3A;<strong>&#x7B80;&#x5355;&#x8DEF;&#x5F84;</strong>&#x3002;&#x9664;&#x4E86;&#x7B2C;&#x4E00;&#x4E2A;&#x9876;&#x70B9;&#x548C;&#x6700;&#x540E;&#x4E00;&#x4E2A;&#x9876;&#x70B9;&#x4E4B;&#x5916;&#xFF0C;&#x5176;&#x4F59;&#x9876;&#x70B9;&#x4E0D;&#x91CD;&#x590D;&#x51FA;&#x73B0;&#x7684;&#x56DE;&#x8DEF;&#xFF0C;&#x79F0;&#x4E3A;<strong>&#x7B80;&#x5355;&#x56DE;&#x8DEF;</strong>&#x6216;&#x8005;&#x7B80;&#x5355;&#x73AF;&#x3002;</p>
<p>&#x5728;&#x65E0;&#x5411;&#x56FE;&#x4E2D;&#xFF0C;&#x5982;&#x679C;&#x4ECE;&#x9876;&#x70B9; <em>v</em> &#x5230; <em>v&apos;</em> &#x6709;&#x8DEF;&#x5F84;&#xFF0C;&#x5219;&#x79F0; <em>v</em> &#x548C; <em>v&apos;</em> &#x662F;<strong>&#x8FDE;&#x901A;</strong>&#x7684;&#x3002;&#x5982;&#x679C;&#x56FE; G &#x4E2D;&#x4EFB;&#x610F;&#x4E24;&#x4E2A;&#x9876;&#x70B9;&#x662F;&#x8FDE;&#x901A;&#x7684;&#xFF0C;&#x5219;&#x79F0;&#x56FE; G &#x662F;<strong>&#x8FDE;&#x901A;&#x56FE;</strong>&#x3002;&#x65E0;&#x5411;&#x56FE;&#x4E2D;&#x7684;&#x6781;&#x5927;&#x8FDE;&#x901A;&#x5B50;&#x56FE;&#x79F0;&#x4E3A;<strong>&#x8FDE;&#x901A;&#x5206;&#x91CF;</strong>&#x3002;</p>
<p>&#x5728;&#x6709;&#x5411;&#x56FE; G &#x4E2D;&#xFF0C;&#x5982;&#x679C;&#x5BF9;&#x4E8E;&#x6BCF;&#x4E00;&#x5BF9;&#x9876;&#x70B9;&#xFF0C;&#x90FD;&#x5B58;&#x5728;&#x8DEF;&#x5F84;&#xFF08;<em>v</em> &#x5230; <em>v&apos;</em> &#x548C; <em>v&apos;</em> &#x5230; <em>v</em>&#xFF09;&#xFF0C;&#x5219;&#x79F0; G &#x662F;<strong>&#x5F3A;&#x8FDE;&#x901A;&#x56FE;</strong>&#x3002;&#x6709;&#x5411;&#x56FE;&#x4E2D;&#x7684;&#x6781;&#x5927;&#x8FDE;&#x901A;&#x5B50;&#x56FE;&#x79F0;&#x4F5C;&#x6709;&#x5411;&#x56FE;&#x7684;<strong>&#x5F3A;&#x8FDE;&#x901A;&#x5206;&#x91CF;</strong>&#x3002;</p>

                                
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